# What is the Greatest Common Factor of 90 and 109?

Greatest common factor (GCF) of 90 and 109 is **1**.

GCF(90,109) = 1

We will now calculate the prime factors of **90 and 109**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 90 and 109.

## How to find the GCF of 90 and 109?

We will first find the prime factorization of 90 and 109. After we will calculate the factors of 90 and 109 and find the biggest common factor number .

### Step-1: Prime Factorization of 90

Prime factors of 90 are 2, 3, 5. Prime factorization of **90** in exponential form is:

90 = 2^{1} × 3^{2} × 5^{1}

### Step-2: Prime Factorization of 109

Prime factors of 109 are 109. Prime factorization of **109** in exponential form is:

109 = 109^{1}

### Step-3: Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45

### Step-4: Factors of 109

List of positive integer factors of 109 that divides 90 without a remainder.

1

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90 and 109. The biggest common factor number is the **GCF** number.

So the **greatest common factor 90 and 109** is **1**.

Also check out the Least Common Multiple of 90 and 109

#### Related Greatest Common Factors of 90

#### Related Greatest Common Factors of 109

- GCF of 109 and 113
- GCF of 109 and 114
- GCF of 109 and 115
- GCF of 109 and 116
- GCF of 109 and 117
- GCF of 109 and 118
- GCF of 109 and 119
- GCF of 109 and 120
- GCF of 109 and 121
- GCF of 109 and 122
- GCF of 109 and 123
- GCF of 109 and 124
- GCF of 109 and 125
- GCF of 109 and 126
- GCF of 109 and 127
- GCF of 109 and 128
- GCF of 109 and 129